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1. Let F = . Use Stokes' Theorem to evaluate / F - dr, where C is the curve of intersection of the parabolic cyliner
1. Let F = . Use Stokes' Theorem to evaluate / F - dr, where C is the curve of intersection of the parabolic cyliner z = y" - T and the circular cylinder a + y- = 16 , oriented counterclockwise as viewed from above. 2. Compute the flux of the vector field (x*, - xy"), out of the rectangle with vertices (0,0), (2,0), (2,6), and (0,6). 3. Evaluate of y'dx - x dy, where C is the boundary of the region between the circles a- + y = 4 and x' + y? = 16
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